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sergiy2304 [10]
2 years ago
8

For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 12 N acts on

a certain object, the acceleration
of the object is 3 m/s
If the force is changed to 16 N, what will be the acceleration of the object?
Mathematics
1 answer:
Murrr4er [49]2 years ago
4 0

Answer:

Force acting on the object varies directly with the objects acceleration:

F∝a

F=ka (Let's call this equation 1)

When F=12 and a =3

Substituting this info into the equation 1;

12=k×3

12=3k

k=4

Substituting k into equation 1

F=4xa

F=4a (Let's call this equation 2)

When F=16

Substituting F=16 into equation 2

16=4a

a=4 m/s^2

Therefore, if the force is changed to 16 N, the acceleration will be 4m/s^2.

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Additive indentity
(5 + 2) + n
n = 1
a variable is always a number itself remember 7+n
5+2 = 7
5 0
3 years ago
A customer is late paying their renewal registration fee. The renewal registration fee is $142.16 and the late fee is 63% of the
Andre45 [30]
$124.56 because if you have 63% you change it to a decimal so it is not .63 and you multiply it by 146.16 and then add the 35 you get 124.56
8 0
3 years ago
The distance between the school and the airport on a map is 7.25 cm. The scale of the map is 1 cm : 12m. What is the actual dist
SpyIntel [72]

Answer: 87 m


Step-by-step explanation:

This problem can be solved by using a simple ratio and proportion.

The way you figure this out is::

Model = 12 m/ 1 cm = x/7.25 cm

Solve for x and you should receive this answer:

x = 87 m


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8 0
3 years ago
A college student is taking two courses. The probability she passes the first course is 0.73. The probability she passes the sec
zhenek [66]

Answer:

b) No, it's not independent.

c) 0.02

d) 0.59

e) 0.57

f) 0.5616

Step-by-step explanation:

To answer this problem, a Venn diagram should be useful. The diagram with the information of Event 1 and Event 2 is shown below (I already added the information for the intersection but we're going to see how to get that information in the b) part of the problem)

Let's call A the event that she passes the first course, then P(A)=.73

Let's call B the event that she passes the second course, then P(B)=.66

Then P(A∪B) is the probability that she passes the first or the second course (at least one of them) is the given probability. P(A∪B)=.98

b) Is the event she passes one course independent of the event that she passes the other course?

Two events are independent when P(A∩B) = P(A) * P(B)

So far, we don't know P(A∩B), but we do know that for all events, the next formula is true:

P(A∪B) = P(A) + P(B) - P(A∩B)

We are going to solve for P (A∩B)

.98 = .73 + .66 - P(A∩B)

P(A∩B) =.73 + .66 - .98

P(A∩B) = .41

Now we will see if the formula for independent events is true

P(A∩B) = P(A) x P(B)

.41 = .73 x .66

.41 ≠.4818

Therefore, these two events are not independent.

c) The probability she does not pass either course, is 1 - the probability that she passes either one of the courses (P(A∪B) = .98)

1 - P(A∪B) = 1 - .98 = .02

d) The probability she doesn't pass both courses is 1 - the probability that she passes both of the courses P(A∩B)

1 - P(A∩B) = 1 -.41 = .59

e) The probability she passes exactly one course would be the probability that she passes either course minus the probability that she passes both courses.

P(A∪B) - P(A∩B) = .98 - .41 = .57

f) Given that she passes the first course, the probability she passes the second would be a conditional probability P(B|A)

P(B|A) = P(A∩B) / P(A)

P(B|A) = .41 / .73 = .5616

4 0
3 years ago
What does x equal ? i’ve been confused on this same question for 20 min
slega [8]

Answer:

45*

Step-by-step explanation:

This is because angles of a triangle like this need to be 135* total. So 135/3 is 45*

7 0
3 years ago
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